Robust Fault Reconstruction in Uncertain Linear Systems Using Multiple Sliding Mode Observers in Cascade

Robust Fault Reconstruction in Uncertain Linear Systems Using Multiple Sliding Mode Observers in Cascade
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DOI:
10.1109/tac.2010.2041996
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发表时间:
2010-04-01
影响因子:
6.8
通讯作者:
Edwards, Christopher
Edwards, Christopher
中科院分区:
计算机科学2区
文献类型:
--
作者:
Tan, Chee Pin;Edwards, Christopher

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在基于观测器的故障重构中,必要条件之一是从故障到输出的第一个马尔可夫参数必须是满秩的。本文试图通过级联使用多个滑模观测器来放宽这一要求。来自观察者的信号被用作虚拟系统的输出,该系统的输入是故障。然后为虚拟系统设计并实现另一个观察者。重复这个过程,直到虚拟系统关于故障的第一个马尔可夫参数满秩。结果是,与其他也寻求放宽满秩第一马尔可夫参数要求的工作相比,可以对更广泛的系统类别进行鲁棒故障重建。此外,本文还研究并提出了易于测试的充分必要条件,以及所需观察者的精确数量。仿真算例验证了该方案的有效性。
In observer-based fault reconstruction, one of the necessary conditions is that the first Markov parameter from the fault to the output must be full rank. This paper seeks to relax that requirement by using multiple sliding mode observers in cascade. Signals from an observer are used as the output of a fictitious system whose input is the fault. Another observer is then designed and implemented for the fictitious system. This process is repeated until the first Markov parameter of the fictitious system with respect to the fault is full rank. The result is that robust fault reconstruction can be carried out for a wider class of systems compared to other works that also seek to relax the requirement of a full rank first Markov parameter. In addition, this paper has also investigated and presented the necessary and sufficient conditions as easily testable conditions, and also the precise number of observers required. A simulation example verifies the effectiveness of the scheme.